Search a number
-
+
5625131715040 = 255237891477871
BaseRepresentation
bin101000111011011001111…
…1110100100100111100000
3201220202110002201120210011
41101312303332210213200
51214130232204340130
615544052210414304
71120255002444325
oct121666376444740
921822402646704
105625131715040
11187967222a592
1276a231291394
1331a5a8624276
1415638769cb4c
159b4c8acd52a
hex51db3fa49e0

5625131715040 has 48 divisors (see below), whose sum is σ = 13289941304640. Its totient is φ = 2249956579840.

The previous prime is 5625131715023. The next prime is 5625131715067. The reversal of 5625131715040 is 405171315265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5625131714984 and 5625131715002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067305 + ... + 4545175.

It is an arithmetic number, because the mean of its divisors is an integer number (276873777180).

Almost surely, 25625131715040 is an apocalyptic number.

It is an amenable number.

5625131715040 is an abundant number, since it is smaller than the sum of its proper divisors (7664809589600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5625131715040 is a wasteful number, since it uses less digits than its factorization.

5625131715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501675 (or 1501667 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 5625131715040 in words is "five trillion, six hundred twenty-five billion, one hundred thirty-one million, seven hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 23789 47578 95156 118945 190312 237890 380624 475780 761248 951560 1477871 1903120 2955742 3806240 5911484 7389355 11822968 14778710 23645936 29557420 47291872 59114840 118229680 236459360 35157073219 70314146438 140628292876 175785366095 281256585752 351570732190 562513171504 703141464380 1125026343008 1406282928760 2812565857520 5625131715040